1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
puteri [66]
3 years ago
9

A washer and dryer cost a total of $954. The cost of the washer is two times the cost of the dryer. Find the cost of each item.

Mathematics
1 answer:
scoray [572]3 years ago
8 0

Answer:

The dryer would cost 318 and the washer would cost 636

Step-by-step explanation:

954 divided by 3 = 318  318x2=636     318+638=954

You might be interested in
Question 2.
lbvjy [14]
B i tink i am not sure
7 0
3 years ago
Let f be defined by the function f(x) = 1/(x^2+9)
riadik2000 [5.3K]

(a)

\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :

\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt

=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}

(b) The series

\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}

converges by comparison to the convergent <em>p</em>-series,

\displaystyle\sum_{n=3}^\infty\frac1{n^2}

(c) The series

\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}

converges absolutely, since

\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.

5 0
3 years ago
4.
zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.

Required

Prove

To start with; we open the bracket on the left hand side

(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)

(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)

(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x

(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x

Reorder

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

From trigonometry;

sin^2x + cos^2x = 1

So;

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

becomes

(sin x - cos x)^2 = 1 - 2sinx cos x

Also from trigonometry;

sec^2x - tan^2x = 1

So,  

(sin x - cos x)^2 = 1 - 2sinx cos x

becomes

(sin x - cos x)^2 = sec^2x - tan^2x  - 2sinx cos x

Proved

3 0
3 years ago
25% of the student's in Mrs.Brown's class like chocolate ice cream. How many students are in her class if 6 students like chocol
Katen [24]

Answer:

24 students.

Step-by-step explanation:

25% is 1/4 of 100.

6*4= The number of students.

7 0
3 years ago
Read 2 more answers
Can you please help?
yan [13]

Answer:

f = (9c/5) + 32

Step-by-step explanation:

im pretty sure maybe

8 0
3 years ago
Other questions:
  • A two-way frequency table shows grades for students in college and students in high school: High school College Total GPA above
    8·1 answer
  • The total area of this shape is 44 square inches. The area of the triangle is 20 square inches. Write and solve an equation to f
    10·2 answers
  • I need help with how to find the surface area of a triangular prism In general
    9·2 answers
  • 4x + 3y = 8<br>2x - y=9​
    11·1 answer
  • X=y+16 y+2x=5 what is the x cordinate
    13·1 answer
  • Can someone please explain how to get the answer plzzzzz
    9·1 answer
  • A giant pizza box in the shape of a rectangular prism measures 38 m × 38 m × 0.25 m. What is the surface area of the box?
    10·1 answer
  • share 400 sweets between two boys such that one boy gets 60 more sweets than the other. what are the two shares?​
    14·1 answer
  • 828 is 9/10— of which number?
    6·1 answer
  • 2. A large aquarium in the shape of a rectangular prism has the follo
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!